How to determine the absolute value of a complex exponential function containing a symbolic variable?

I am determining the frequency response of a parallel RLC circuit. The input current is 10*sin(w*t). The phasor form is, I = 10 exp(j*w*t). The abs(I) is 10. But matlab gives 10*exp(-imag(t*w)). But whatever the value of w*t, the absolute value is always 10. How can I get magnitude from such complex exponential, without substituting the value of w and t?

Answer 1

[Torsten]

syms omega t real
syms I0 positive
I = I0*exp(1i*omega*t);
abs(I)

ans = 

[Mosharof Hossain]

Thanks.

I was getting 10*exp(-imag(t*w)); is that because I defined w and t as complex variable?

[Torsten]

Yes, if you don't restrict variables to e.g. being integer or real, they are assumed as complex by default.

[Mosharof Hossain]

Ok. Thanks again.